Square root of 8625

The square root of 8625 is 92.870878 (rounded to 6 decimal places). In simplest radical form it is 5√345.

Square root of 8625

Pick any whole number from 1 to 10,000.

\sqrt{8625} = 5\sqrt{345} \approx 92.870878

How to work it out

1
The square root of 8625 is the number that multiplied by itself gives 8625.
2
8625 is between the perfect squares 92² = 8464 and 93² = 8649, so its square root is between 92 and 93.
3
Pull out the biggest square factor: 8625 = 25 × 345, so
$\sqrt{8625} = \sqrt{25 \times 345} = 5\sqrt{345}$
4
A calculator, or long division of digits, gives
$\sqrt{8625} \approx 92.870878$

LaTeX source of the formulas on this page

\[ \sqrt{8625} = 5\sqrt{345} \approx 92.870878 \]
\[ \sqrt{8625} = \sqrt{25 \times 345} = 5\sqrt{345} \]
\[ \sqrt{8625} \approx 92.870878 \]

What is the square root of 8625?

The square root of 8625 is 92.870878 (rounded to 6 decimal places). In simplest radical form it is 5√345.

Is 8625 a perfect square?

No. It lies between 92² = 8464 and 93² = 8649.

What is 8625 squared?

8625 × 8625 = 74390625.

What is the square root of 8625 rounded to 2 decimals?

92.87.